Pith Number

pith:CWAGJVCI

pith:2008:CWAGJVCINRUD5E5VUWFM6ZSA5W

not attested not anchored not stored refs pending

On theta functions of order four

Christian Pauly (I3M), Olivier Serman (LPP), Yaacov Kopeliovich

arxiv:0810.1010 v2 · 2008-10-06 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWAGJVCINRUD5E5VUWFM6ZSA5W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:58:11.087732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

158064d4486c683e93b5a58acf6640eda2d0f7aa4fa891972d6a79c9edd6b4d2

Aliases

arxiv: 0810.1010 · arxiv_version: 0810.1010v2 · doi: 10.48550/arxiv.0810.1010 · pith_short_12: CWAGJVCINRUD · pith_short_16: CWAGJVCINRUD5E5V · pith_short_8: CWAGJVCI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CWAGJVCINRUD5E5VUWFM6ZSA5W \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 158064d4486c683e93b5a58acf6640eda2d0f7aa4fa891972d6a79c9edd6b4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dff25a660f75c322a7fa4958f8861f673776f557a53d7879380f5c1ba82ab70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-06T17:08:56Z",
    "title_canon_sha256": "a194bcd51070064298340ba9047fa0503d7f04c92332df28b6560cba34a28224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1010",
    "kind": "arxiv",
    "version": 2
  }
}